Postulate (Concerse of the Segment Addition Postulate)
Given three points P,Q, and R, if PQ+QR, then P, Q, and R are collinear and Q is between P and R
Triangle Inequality Theorem:The sum of the lengths of any two sides of a triangle is greater then the length of the third side.
You are given the points R, S, and T, where RS=9.8, TR=9.6, and TS=19.4. Assuming that the given distances are exact, are the points collinear? If so, which point is between the other two.
betweenness postulate (converse of the segment addition postulate): given three points P,Q,and R, if PQ+QR=PR, then P, Q, and R are collinear and Q is between P and R
Given three points P,Q, and R, if PQ+QR, then P, Q, and R are collinear and Q is between P and R
Triangle Inequality Theorem:The sum of the lengths of any two sides of a triangle is greater then the length of the third side.
You are given the points R, S, and T, where RS=9.8, TR=9.6, and TS=19.4. Assuming that the given distances are exact, are the points collinear? If so, which point is between the other two.
betweenness postulate (converse of the segment addition postulate): given three points P,Q,and R, if PQ+QR=PR, then P, Q, and R are collinear and Q is between P and R